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12640624101 = 337285123459
BaseRepresentation
bin10111100010111000…
…01001110111100101
31012121221120020102000
423301130021313211
5201341444432401
65450152235513
7625150350330
oct136134116745
935557506360
1012640624101
1153a7336a86
12254939bb99
131265ab5041
1487cb3b617
154deb15186
hex2f1709de5

12640624101 has 32 divisors (see below), whose sum is σ = 21410534400. Its totient is φ = 7220372400.

The previous prime is 12640624097. The next prime is 12640624123. The reversal of 12640624101 is 10142604621.

12640624101 is a `hidden beast` number, since 1 + 2 + 640 + 6 + 2 + 4 + 10 + 1 = 666.

It is not a de Polignac number, because 12640624101 - 22 = 12640624097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12640624141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527110 + ... + 550568.

It is an arithmetic number, because the mean of its divisors is an integer number (669079200).

Almost surely, 212640624101 is an apocalyptic number.

It is an amenable number.

12640624101 is a deficient number, since it is larger than the sum of its proper divisors (8769910299).

12640624101 is a wasteful number, since it uses less digits than its factorization.

12640624101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26326 (or 26320 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12640624101 in words is "twelve billion, six hundred forty million, six hundred twenty-four thousand, one hundred one".

Divisors: 1 3 7 9 21 27 63 189 2851 8553 19957 23459 25659 59871 70377 76977 164213 179613 211131 492639 538839 633393 1477917 4433751 66881609 200644827 468171263 601934481 1404513789 1805803443 4213541367 12640624101